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Finding the Fourth Proportional to 28,038.96, 38,689.38 and 16,100.64

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Solution

The fourth proportional to 28,038.96, 38,689.38 and 16,100.64 is: 22,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,038.96 : 38,689.38 = 16,100.64 : x
  2. Step 2: Convert to fraction form
    28,038.96/38,689.38 = 16,100.64/x
  3. Step 3: Cross multiply
    28,038.96x = 38,689.38 × 16,100.64
  4. Step 4: Simplify right side
    28,038.96x = 622,923,779.20
  5. Step 5: Solve for x
    x = 622,923,779.20/28,038.96
  6. Step 6: Final answer
    x = 22,216.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.